The tangent bundle of -velocities over a homogeneous space
Jacek Gancarzewicz, Modesto R. Salgado (1991)
Czechoslovak Mathematical Journal
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Jacek Gancarzewicz, Modesto R. Salgado (1991)
Czechoslovak Mathematical Journal
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Tomasz Przebinda (2006)
Open Mathematics
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In this paper we identify a real reductive dual pair of Roger Howe with an Ordinary Classical Lie supergroup. In these terms we describe the semisimple orbits of the dual pair in the symplectic space, a slice through a semisimple element of the symplectic space, an analog of a Cartan subalgebra, the corresponding Weyl group and the corresponding Weyl integration formula.
Lisiecki, Wojciech
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Gregor Fels, Laura Geatti (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Foth, Philip, Otto, Michael (2006)
Documenta Mathematica
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Blaom, Anthony D. (2002)
Documenta Mathematica
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Boris Doubrov, Igor Zelenko (2012)
Open Mathematics
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We develop an algebraic version of Cartan’s method of equivalence or an analog of Tanaka prolongation for the (extrinsic) geometry of curves of flags of a vector space W with respect to the action of a subgroup G of GL(W). Under some natural assumptions on the subgroup G and on the flags, one can pass from the filtered objects to the corresponding graded objects and describe the construction of canonical bundles of moving frames for these curves in the language of pure linear algebra....
Ottazzi, A. (2005)
Journal of Lie Theory
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